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We investigate electron transport through clean open quantum dots (quantum billiards). We present a semiclassical theory that allows to accurately reproduce quantum transport calculations. Quantitative agreement is reached for individual…

Mesoscale and Nanoscale Physics · Physics 2010-04-30 Iva Brezinova , Ludger Wirtz , Stefan Rotter , Christoph Stampfer , Joachim Burgdorfer

The Lloyd model is extended to the exciton problem in quasi one-dimensional structures to study the interplay between the Coulomb attraction and disorder scattering. Within this model the averaging and resummation of the locator series can…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Christian Fuchs , Ralph v. Baltz

We consider the motion of a particle subjected to the constant gravitational field and scattered inelasticaly by hard boundaries which possess the shape of parabola, wedge, and hyperbola. The billiard itself performs oscillations. The…

Chaotic Dynamics · Physics 2007-05-23 A. Z. Gorski , T. Srokowski

We study the quantum-interference effect in the ballistic Aharonov-Bohm (AB) billiard. The wave-number averaged conductance and the correlation function of the non-averaged conductance are calculated by use of semiclassical theory. Chaotic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shiro Kawabata

We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared to the wave length 2 pi/k. Via the application of the periodic orbit theory of diffraction we derive the semiclassical spectral determinant.…

chao-dyn · Physics 2009-10-30 Per Dahlqvist , Gabor Vattay

We investigate electronic states in a two-dimensional network consisting of interacting quantum wires, a model adopted for twisted bilayer systems. We construct general operators which describe various scattering processes in the system. In…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Chen-Hsuan Hsu , Daniel Loss , Jelena Klinovaja

A material that exhibits Willis coupling has constitutive equations that couple the pressure-strain and momentum-velocity relationships. This coupling arises from subwavelength asymmetry and non-locality in heterogeneous media. This paper…

Computational Physics · Physics 2019-03-06 Michael B. Muhlestein , Benjamin M. Goldsberry , Andrew N. Norris , Michael R. Haberman

We investigate the conductance statistics of a quantum-chaotic dot--a normal-metal grain--with a superconducting lead attached to it. The cases of one and two normal leads additionally attached to the dot are studied. For these two…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 Victor A. Gopar , J. A. Mendez-Bermudez , Arafa H. Aly

The equilibration length between spin-polarized edge states in the Quantum Hall regime is measured as a function of a gate voltage applied to an electrode on top of the edge channels. Reproducible fluctuations in the coupling are observed…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Acremann , T. Heinzel , K. Ensslin E. Gini , H. Melchior , M. Holland

Scattering of electrons from chiral spin textures such as the skyrmions is an emerging research area due to its richness in topological quantum transport, which is significant for spintronic devices. We study the dynamical process of…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hareram Swain , Arijit Mandal , S. Satpathy , B. R. K. Nanda

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

Analysis of PDEs · Mathematics 2018-12-05 Liliana Borcea , Josselin Garnier

We study the resonances of the quantum kicked rotor subjected to an excitation that follows a deterministic time-dependent prescription. For the primary resonances we find an analytical relation between the long-time behavior of the…

Quantum Physics · Physics 2015-05-14 A. Romanelli , Guzmán Hernández

The one-dimensional effective Hamiltonian for a planar curvilinear quantum wire with arbitrary shape is proposed in the presence of the Rashba spin-orbit interaction. Single electron propagation through a device of two straight lines…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Erhu Zhang , Shengli Zhang , Qi Wang

We use scanning near-field optical microscopy to image hyperbolic phonon polaritons in hexagonal boron nitride (hBN) billiards with integrable and chaotic geometries. In Sinai billiards, we observe irregular mode patterns consistent with…

We present an analysis of wave propagation and reflection in an acoustic waveguide with random sound soft boundary and a turning point. The waveguide has slowly bending axis and variable cross section. The variation consists of a slow and…

Analysis of PDEs · Mathematics 2016-09-16 Liliana Borcea , Josselin Garnier

We have computed the probability distribution of the conductance of a ballistic and chaotic cavity which is connected to two electron reservoirs by leads with a single propagating mode, for arbitrary values of the transmission probability…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

Properties of a quantum mushroom billiard in the form of a superconducting microwave resonator have been investigated. They reveal unexpected nonuniversal features such as, e.g., a supershell effect in the level density and a dip in the…

Chaotic Dynamics · Physics 2007-05-23 B. Dietz , T. Friedrich , M. Miski-Oglu , A. Richter , F. Schaefer

We use magnetoconductance fluctuation measurements of phase-coherent semiconductor billiards to quantify the contributions to the nonlinear electric conductance that are asymmetric under reversal of magnetic field. We experimentally…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Marlow , R. P. Taylor , M. Fairbanks , I. Shorubalko , H. Linke

We apply periodic orbit theory to a two-dimensional non-integrable billiard system whose boundary is varied smoothly from a circular to an equilateral triangular shape. Although the classical dynamics becomes chaotic with increasing…

Chaotic Dynamics · Physics 2008-11-26 Ken-ichiro Arita , Matthias Brack

The poles of the S-matrix and the wave functions of open 2D quantum billiards with convex boundary of different shape are calculated by the method of complex scaling. Two leads are attached to the cavities. The conductance of the cavities…

Mesoscale and Nanoscale Physics · Physics 2009-02-06 R. G. Nazmitdinov , K. N. Pichugin , I. Rotter , P. Seba
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